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2122113323 = 1161101173181
BaseRepresentation
bin111111001111100…
…1110000100101011
312110220010112012202
41332133032010223
513321230111243
6550324130415
7103405444211
oct17637160453
95426115182
102122113323
11999972170
124b2836a0b
1327a861175
14161ba4cb1
15c64844b8
hex7e7ce12b

2122113323 has 32 divisors (see below), whose sum is σ = 2403221184. Its totient is φ = 1857600000.

The previous prime is 2122113319. The next prime is 2122113341. The reversal of 2122113323 is 3233112212.

It is a cyclic number.

It is not a de Polignac number, because 2122113323 - 22 = 2122113319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122113295 and 2122113304.

It is not an unprimeable number, because it can be changed into a prime (2122113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11724293 + ... + 11724473.

It is an arithmetic number, because the mean of its divisors is an integer number (75100662).

Almost surely, 22122113323 is an apocalyptic number.

2122113323 is a deficient number, since it is larger than the sum of its proper divisors (281107861).

2122113323 is a wasteful number, since it uses less digits than its factorization.

2122113323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 432, while the sum is 20.

The square root of 2122113323 is about 46066.4012377785. The cubic root of 2122113323 is about 1285.0583778431.

Adding to 2122113323 its reverse (3233112212), we get a palindrome (5355225535).

The spelling of 2122113323 in words is "two billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 11 61 101 173 181 671 1111 1903 1991 6161 10553 11041 17473 18281 31313 67771 116083 121451 192203 201091 344443 1065853 1115141 1910093 3162613 11724383 12266551 21011023 34788743 192919393 2122113323